Numerical Analysis and Scientific Computing Course Contents

  • Computing with Matrices and Vectors
  • Direct Methods for Linear Systems of Equations
  • DIrect Methods for Linear Least Squares Problems
  • Filtering Algorithms
  • Data Interpolation and Data Fitting in 1D
  • Approximation of Functions in 1D
  • Numerical Quadrature
  • Iterative Methods for Non-Linear Systems of Equations
  • Eigenvalues
  • Krylov Methods for Linear Systems of Equations
  • Numerical Integration – Single Step Methods
  • Single Step Methods for Stiff Initial Value Problems
  • Structure Preserving Integration

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